On the construction of permutation complexes for profinite groups
نویسندگان
چکیده
In [5], Goerss, Henn, Mahowald and Rezk consider the special extended Morava stabilizer group G2 = S2 o Gal at the prime 3 and construct an exact sequence of compact modules 0→ Ind 1 2 G24 Ẑ3 → Ind G2 SD16 Ẑ3(χ)→ Ind G2 SD16 Ẑ3(χ)→ Ind G2 G24 Ẑ3 → Ẑ3 → 0, where G24 is a subgroup of order 24 etc, and Ẑ3(χ) is a copy of Ẑ3 on which SD16 acts via a character χ : SD16 → {±1}. They then use this to construct a certain tower of spectra.
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